Height and Distance Questions Practice Question and Answer

Q:

A kite is flying at a height of 50m. If the length of string is 100m then the inclination of string to the horizontal ground in degree measures is:

1147 0

  • 1
    90
    Correct
    Wrong
  • 2
    45
    Correct
    Wrong
  • 3
    60
    Correct
    Wrong
  • 4
    30
    Correct
    Wrong
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Answer : 4. "30"

Q:

The height of a light house is 20 meters above sea level. The angle of depression (from the top of the lighthouse) of a ship in the sea is 30°. What is the distance of the ship from the foot of the light house?

1018 0

  • 1
    16 m
    Correct
    Wrong
  • 2
    20√ 3 m
    Correct
    Wrong
  • 3
    20 m
    Correct
    Wrong
  • 4
    30 m
    Correct
    Wrong
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Answer : 2. "20√ 3 m"

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Answer : 3. "48"

Q:

An observer who is 1.62-meter-tall is 45 meters away form a pole. The angle of elevation of the top of the pole from his eyes is 30°. The height ( in meter) of the pole is closet to:

714 0

  • 1
    26.8
    Correct
    Wrong
  • 2
    27.6
    Correct
    Wrong
  • 3
    26.2
    Correct
    Wrong
  • 4
    25.8
    Correct
    Wrong
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Answer : 2. "27.6"

Q:

From an observation tower ‘h’ meter above the level of river, the angle of depression of a point on the near shore is A° and that of a point directly on the far shore is B°. Find the width of the river.

1207 0

  • 1
    h (Cot B +Cot A)
    Correct
    Wrong
  • 2
    h (tanB +tanA)
    Correct
    Wrong
  • 3
    h (tanA - tan B)
    Correct
    Wrong
  • 4
    h(cot B-cotA)
    Correct
    Wrong
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Answer : 1. "h (Cot B +Cot A)"

Q:

An electrician has to repair an electric fault on a pole of height 4 m. He needs to reach a point 1.3 m below the top of the pole to un dertake the repair work the length of ladder that he should use, which when inclined at an angle of 60° to the horizontal would enable him to reach the required positions is :

835 0

  • 1
    $$ {9\sqrt{3}\over 10}{\ meter}$$
    Correct
    Wrong
  • 2
    $$ {3\sqrt{3}\over 10}{\ meter}$$
    Correct
    Wrong
  • 3
    $$ {3\sqrt{3}\over 5}{\ meter}$$
    Correct
    Wrong
  • 4
    $$ {9\sqrt{3}\over 5}{\ meter}$$
    Correct
    Wrong
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Answer : 4. "$$ {9\sqrt{3}\over 5}{\ meter}$$"

Q:

From a point 12 meter above the water level, the angle of elevation of the top of a hill is 60° and the angle of depression of the base of the hill 30°. What is the height ( in meter) of the hill?

752 0

  • 1
    $$ {48\sqrt{3}}$$
    Correct
    Wrong
  • 2
    36
    Correct
    Wrong
  • 3
    $$ {36\sqrt{3}}$
    Correct
    Wrong
  • 4
    48
    Correct
    Wrong
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Answer : 4. "48"

Q:

A kite is flying at a height of 123 meter. The thread attached to it assumed to be stretched straight and makes an angle of 60° with the level ground. The length of the string will be 

897 0

  • 1
    142 m
    Correct
    Wrong
  • 2
    140 m
    Correct
    Wrong
  • 3
    139 m
    Correct
    Wrong
  • 4
    138 m
    Correct
    Wrong
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Answer : 1. "142 m"

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